Measured viscosities of one glycerol sample are given below

PHYSICS · Multi-part · Fermi University Physics · Fluids & Continuum Physics · Solid continuum mechanics and complex fluids · Solid continuum mechanics and complex fluids

Fluid Dynamics, Ch The stress tensor completed: constitutive law and fluid properties

Problem

Measured viscosities of one glycerol sample are given below. Its value at

293\,\mathrm{K}

is a little below the

1.49\,\mathrm{Pa\,s}

quoted in the chapter, because published values differ by several per cent and a trace of absorbed water lowers glycerol's viscosity. Data:

\mu=1.41

0.28

and

0.081\,\mathrm{Pa\,s}

T=293

313

and

333\,\mathrm{K}

respectively. Andrade's law is

\mu(T) = A\,e^{B/T}

, with

A

and

B

constants. ((a)) Use the values at

293\,\mathrm{K}

and

313\,\mathrm{K}

to find

B

. ((b)) Use this

B

to predict

\mu

333\,\mathrm{K}

and compare with the tabulated value.

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